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When a particle moves around a Kerr black hole, it radiates gravitational waves.Some of these waves are absorbed by the black hole. We calculate such absorption of gravitational waves induced by a particle of mass mu in a circular orbit on…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Hideyuki Tagoshi , Shuhei Mano , Eiichi Takasugi

We present a new computation of the asymptotic gravitational wave energy fluxes emitted by a {\it spinning} particle in circular equatorial orbits about a Kerr black hole. The particle dynamics is computed in the pole-dipole approximation,…

General Relativity and Quantum Cosmology · Physics 2019-08-08 Enno Harms , Georgios Lukes-Gerakopoulos , Sebastiano Bernuzzi , Alessandro Nagar

The mass and spin of black holes (BHs) in binary systems may change due to the infall of gravitational-wave (GW) energy down the horizons. For spinning BHs, this effect enters at 2.5 post-Newtonian (PN) order relative to the leading-order…

General Relativity and Quantum Cosmology · Physics 2023-04-19 M. V. S. Saketh , Jan Steinhoff , Justin Vines , Alessandra Buonanno

We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino , Misao Sasaki , Masaru Shibata , Hideyuki Tagoshi , Takahiro Tanaka

We present a new approach to solve the 2+1 Teukolsky equation for gravitational perturbations of a Kerr black hole. Our approach relies on a new horizon penetrating, hyperboloidal foliation of Kerr spacetime and spatial compactification. In…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Enno Harms , Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu

We calculate the high-order post-Newtonian (PN) expansion of the energy and angular momentum fluxes onto the horizon of a nonspinning black hole primary in eccentric-orbit extreme-mass-ratio inspirals. The first-order black hole…

General Relativity and Quantum Cosmology · Physics 2023-11-09 Christopher Munna , Charles R. Evans , Erik Forseth

We propose, within the effective one body (EOB) approach, a new, resummed, analytical representation of the gravitational wave energy flux absorbed by a system of two circularized (nonspinning) black holes. This expression is such to be…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Alessandro Nagar , Sarp Akcay

We present analytical expressions for the fluxes of energy and angular momentum from a point mass on an inclined spherical orbit about a Kerr black hole. The expressions are obtained using the method of Mano, Suzuki and Takasugi to…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Jezreel C. Castillo , Charles R. Evans , Chris Kavanagh , Jakob Neef , Adrian Ottewill , Barry Wardell

We calculate the secular changes of the orbital parameters of a point particle orbiting a Kerr black hole, due to the gravitational radiation reaction. For this purpose, we use the post-Newtonian (PN) approximation in the first order black…

General Relativity and Quantum Cosmology · Physics 2015-07-14 Norichika Sago , Ryuichi Fujita

In this article we present the post-Newtonian (pN) coefficients of the energy flux (and angular momentum flux) at infinity and event horizon for a particle in circular, equatorial orbits about a Kerr black hole (of mass $M$ and…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Abhay G Shah

We consider the motion of nonspinning, compact objects orbiting around a Kerr black hole with tidal couplings. The tide-induced quadrupole moment modifies both the orbital energy and outgoing fluxes, so that over the inspiral timescale…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Xuefeng Feng , Zhenwei Lyu , Huan Yang

We study electromagnetic radiation reaction on a charged particle around a weakly magnetized Kerr black hole. We solve numerically the Teukolsky equation to find energy fluxes in electromagnetic radiation at the horizon and at spatial…

General Relativity and Quantum Cosmology · Physics 2024-12-18 João S. Santos , Vítor Cardoso , José Natário

Horizon fluxes of energy and angular momentum are a key strong-field effect in the dynamics of black holes, encoding direct information about their nature. In this work, we present a numerical study of these fluxes for a test particle…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Rossella Gamba , Danilo Chiaramello , Estuti Shukla , Simone Albanesi

We study the horizon absorption of gravitational waves in coalescing, circularized, nonspinning black hole binaries. The horizon absorbed fluxes of a binary with a large mass ratio (q=1000) obtained by numerical perturbative simulations are…

General Relativity and Quantum Cosmology · Physics 2012-12-20 Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu

Binary systems of black holes emit gravitational waves as they move through their orbits. While most of the emitted radiation escapes to future null infinity, a small fraction is absorbed by the black holes themselves. This is known as…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Danilo Chiaramello , Rossella Gamba

Black holes (BHs) in an inspiraling compact binary system absorb the gravitational-wave (GW) energy and angular-momentum fluxes across their event horizons and this leads to the secular change in their masses and spins during the inspiral…

General Relativity and Quantum Cosmology · Physics 2023-05-19 Soichiro Isoyama , Hiroyuki Nakano

We analyze the extraction of the rotational energy of a Kerr black hole (BH) endowed with a test charge and surrounded by an external test magnetic field and ionized low-density matter. For a magnetic field parallel to the BH spin,…

General Relativity and Quantum Cosmology · Physics 2024-10-08 J. A. Rueda , R. Ruffini

We consider planar massless scalar waves impinging upon a Kerr black hole, for general angles of incidence. We compute the absorption cross section via the partial wave approach, and present a gallery of results. In the low-frequency…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Caio F. B. Macedo , Luiz C. S. Leite , Ednilton S. Oliveira , Sam R. Dolan , Luís C. B. Crispino

One of the central goals of the newborn field of gravitational wave astronomy is to test gravity in the highly nonlinear, strong field regime characterizing the spacetime of black holes. In particular, "black hole spectroscopy" (the…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Kostas Glampedakis , George Pappas , Hector O. Silva , Emanuele Berti

We study the effect of black hole spin on the accuracy of the post-Newtonian approximation. We focus on the gravitational energy flux for the quasicircular, equatorial, extreme mass-ratio inspiral of a compact object into a Kerr black hole…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Zhongyang Zhang , Nicolas Yunes , Emanuele Berti
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